Pith Number

pith:Y6PTY3DK

pith:2007:Y6PTY3DKGY5W7WMJUFZRIUG5P6

not attested not anchored not stored refs pending

Knot Concordance and Higher-Order Blanchfield Duality

Constance Leidy, Shelly Harvey, Tim D. Cochran

arxiv:0710.3082 v3 · 2007-10-16 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6PTY3DKGY5W7WMJUFZRIUG5P6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:38:19.363429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79f3c6c6a363b6fd989a1731450dd7f861c3e90674acc0f7207d62bafce0714

Aliases

arxiv: 0710.3082 · arxiv_version: 0710.3082v3 · doi: 10.48550/arxiv.0710.3082 · pith_short_12: Y6PTY3DKGY5W · pith_short_16: Y6PTY3DKGY5W7WMJ · pith_short_8: Y6PTY3DK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y6PTY3DKGY5W7WMJUFZRIUG5P6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c79f3c6c6a363b6fd989a1731450dd7f861c3e90674acc0f7207d62bafce0714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f84e1f4e537b3822c546815a49ca8447b40dbf1fb6c613e6f76dddba6f4c99b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-16T15:10:05Z",
    "title_canon_sha256": "0bf0ad0161a1855771665995525681fd791aa712e55118fc1251e77b8bb06d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3082",
    "kind": "arxiv",
    "version": 3
  }
}